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Finding the Fourth Proportional to 470,234.74, 648,923.78 and 255,374.86

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Solution

The fourth proportional to 470,234.74, 648,923.78 and 255,374.86 is: 352,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,234.74 : 648,923.78 = 255,374.86 : x
  2. Step 2: Convert to fraction form
    470,234.74/648,923.78 = 255,374.86/x
  3. Step 3: Cross multiply
    470,234.74x = 648,923.78 × 255,374.86
  4. Step 4: Simplify right side
    470,234.74x = 165,718,819,468.17
  5. Step 5: Solve for x
    x = 165,718,819,468.17/470,234.74
  6. Step 6: Final answer
    x = 352,417.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.